{"id":100131,"date":"2026-09-03T23:57:38","date_gmt":"2026-09-03T15:57:38","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/100131.html"},"modified":"2026-09-03T23:57:38","modified_gmt":"2026-09-03T15:57:38","slug":"%e7%ae%97%e6%b3%95%e7%b3%bb%e5%88%973%ef%bc%9a%e4%ba%8c%e5%88%86%e6%9f%a5%e6%89%be","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/100131.html","title":{"rendered":"\u7b97\u6cd5\u7cfb\u52173\uff1a\u4e8c\u5206\u67e5\u627e"},"content":{"rendered":"<\/p>\n<h4>\u4e8c\u5206\u67e5\u627e<\/h4>\n<ul>\n<li>1\u3001\u4e8c\u5206\u67e5\u627e<\/li>\n<li>\n<ul>\n<li>1.1\u3001\u66b4\u529b\u89e3\u6cd5<\/li>\n<li>1.2\u3001\u4e8c\u5206\u67e5\u627e<\/li>\n<li>1.3\u3001\u4ee3\u7801\u5b9e\u73b0<\/li>\n<\/ul>\n<\/li>\n<li>2\u3001\u67e5\u627e\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/li>\n<li>\n<ul>\n<li>2.1\u3001\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e<\/li>\n<li>2.2\u3001\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/li>\n<li>2.3\u3001\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>2.4\u3001\u6a21\u677f\u7684\u63d0\u70bc<\/li>\n<\/ul>\n<\/li>\n<li>3\u3001x\u7684\u5e73\u65b9\u6839<\/li>\n<li>4\u3001\u641c\u7d22\u63d2\u5165\u4f4d\u7f6e<\/li>\n<li>5\u3001\u5c71\u5cf0\u6570\u7ec4\u7684\u5cf0\u503c\u7d22\u5f15<\/li>\n<li>6\u3001\u5bfb\u627e\u5cf0\u503c<\/li>\n<li>7\u3001\u5bfb\u627e\u65cb\u8f6c\u6392\u5e8f\u6570\u7ec4\u4e2d\u7684\u6700\u5c0f\u503c<\/li>\n<li>8\u30010~n-1\u4e2d\u7f3a\u5931\u7684\u6570\u5b57<\/li>\n<\/ul>\n<p>\u4e8c\u5206\u67e5\u627e\u662f\u7ec6\u8282\u975e\u5e38\u591a\u7684\u4e00\u7c7b\u7b97\u6cd5\u9898&#xff0c;\u7a0d\u6709\u4e0d\u614e\u5c31\u4f1a\u7f16\u5199\u51fa\u6b7b\u5faa\u73af\u4ee3\u7801\u3002<\/p>\n<p>\u4e8c\u5206\u67e5\u627e\u7684\u9002\u7528\u8303\u56f4&#xff0c;\u4e0d\u4ec5\u9488\u5bf9\u4e8e\u6709\u5e8f\u7684\u5e8f\u5217&#xff0c;\u5bf9\u4e8e\u65e0\u5e8f\u4f46\u6709\u4e00\u5b9a\u89c4\u5f8b\u7684\u5e8f\u5217&#xff0c;\u6211\u4eec\u4e5f\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5\u3002<\/p>\n<p>\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5\u7684\u5b66\u4e60\u4e2d&#xff0c;\u6211\u4eec\u4e3b\u8981\u5173\u6ce8\u4ee5\u4e0b\u4e24\u70b9&#xff1a;<\/p>\n<ul>\n<li>\u6a21\u677f&#xff1a;\u6a21\u677f\u4f1a\u5728\u524d\u4e24\u9053\u9898\u76ee\u4e2d\u603b\u7ed3\u3002<\/li>\n<li>\u7b97\u6cd5\u539f\u7406&#xff1a;\u5373\u8fd9\u9053\u9898\u7684\u89e3\u9898\u601d\u8def\u662f\u4ec0\u4e48\u3002<\/li>\n<\/ul>\n<h2>1\u3001\u4e8c\u5206\u67e5\u627e<\/h2>\n<p>\u4e8c\u5206\u67e5\u627e<\/p>\n<h3>1.1\u3001\u66b4\u529b\u89e3\u6cd5<\/h3>\n<p>\u8981\u5728\u4e00\u7ec4\u5e8f\u5217\u4e2d\u627e\u5230\u4e00\u4e2a\u6570&#xff0c;\u66b4\u529b\u89e3\u6cd5\u5c31\u662f\u76f4\u63a5\u904d\u5386\u5e8f\u5217\u3002\u4f46\u662f\u904d\u5386\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(logN)&#xff0c;\u65f6\u95f4\u6548\u7387\u4e0d\u592a\u597d\u3002\u6240\u4ee5\u6211\u4eec\u8981\u505a\u4f18\u5316\u3002<\/p>\n<h3>1.2\u3001\u4e8c\u5206\u67e5\u627e<\/h3>\n<p>\u6211\u4eec\u53ef\u4ee5\u4e09\u4e2a\u6307\u9488&#xff1a;left, right, mid\u3002left\u6307\u5411\u5e8f\u5217\u5f00\u5934&#xff0c;right\u6307\u5411\u5e8f\u5217\u7ed3\u5c3e&#xff0c;mid\u6c42\u4e2d\u95f4\u4f4d\u7f6e&#xff0c;\u8ba1\u7b97\u65b9\u5f0f\u662f&#xff1a;<\/p>\n<p>  mid &#061; left &#043; (right &#8211; left) \/ 2 <\/p>\n<p>\u8fd9\u662f\u9632\u6ea2\u51fa\u7684\u8ba1\u7b97\u5f62\u5f0f&#xff0c;\u56e0\u4e3aleft &#043; right\u7684\u503c\u53ef\u80fd\u8d85\u51fa\u4e86\u6574\u578b\u7684\u6700\u5927\u8303\u56f4\u3002<\/p>\n<p>\u5047\u8bbetarget\u5927\u4e8emid\u6307\u5411\u503c&#xff0c;\u5373target\u5728mid\u4e0eright\u4e4b\u95f4\u3002\u7531\u4e8e\u5e8f\u5217\u5347\u5e8f&#xff0c;mid\u53camid\u4e4b\u524d\u7684\u6570\u90fd\u5c0f\u4e8etarget\u3002\u6211\u4eec\u4e0d\u59a8\u76f4\u63a5\u8df3\u8fc7\u8fd9\u4e9b\u8f83\u5c0f\u503c&#xff0c;\u8ba9left\u8d70\u5230mid\u7684\u53f3\u8fb9&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155730-6a9998eaee9f0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5047\u8bbetarget\u5c0f\u4e8emid\u6307\u5411\u503c&#xff0c;\u5373target\u5728mid\u4e0eright\u4e4b\u95f4\u3002\u7531\u4e8e\u5e8f\u5217\u5347\u5e8f&#xff0c;mid\u53camid\u4e4b\u540e\u7684\u6570\u90fd\u5927\u4e8etarget\u3002\u6211\u4eec\u4e0d\u59a8\u76f4\u63a5\u8df3\u8fc7\u8fd9\u4e9b\u8f83\u5927\u503c&#xff0c;\u8ba9right\u8d70\u5230mid\u7684\u5de6\u8fb9&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155731-6a9998eb7dfff.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f53target\u7b49\u4e8emid\u6307\u5411\u503c&#xff0c;target\u5c31\u627e\u5230\u4e86\u3002<\/p>\n<p>\u50cf\u8fd9\u6837\u5c06\u5e8f\u5217\u5206\u6210\u4e24\u5927\u6bb5&#xff0c;\u6bcf\u6b21\u5224\u65ad\u90fd\u80fd\u820d\u5f03\u4e00\u6bb5\u7684\u95ee\u9898&#xff0c;\u5177\u6709\u4e8c\u6bb5\u6027&#xff0c;\u53ef\u4ee5\u7528\u4e8c\u5206\u67e5\u627e\u89e3\u51b3\u3002<\/p>\n<h3>1.3\u3001\u4ee3\u7801\u5b9e\u73b0<\/h3>\n<p>\u5df2\u77e5\u8981\u627e\u7684\u76ee\u6807\u503ctarget&#xff0c;\u8bbemid\u6307\u5411\u503c\u4e3ax&#xff0c;<\/p>\n<ul>\n<li>\u5f53x &lt; target&#xff0c;left\u6765\u5230mid &#043; 1\u7684\u4f4d\u7f6e<\/li>\n<li>\u5f53x &gt; target&#xff0c;right\u6765\u5230mid &#8211; 1\u7684\u4f4d\u7f6e<\/li>\n<li>\u5f53x &#061;&#061; target&#xff0c;mid\u5c31\u662f\u8981\u8fd4\u56de\u7684\u4e0b\u6807<\/li>\n<li>\u6bcf\u6b21\u5224\u65ad\u7ed3\u675f\u540e&#xff0c;\u82e5\u8fd8\u672a\u627e\u5230target&#xff0c;\u9700\u66f4\u65b0mid<\/li>\n<\/ul>\n<p>\u8fd9\u91cc\u6709\u4e00\u4e2a\u7ec6\u8282&#xff1a;\u5224\u65ad\u80af\u5b9a\u662f\u9700\u8981\u5faa\u73af\u8fdb\u884c\u7684&#xff0c;\u90a3\u4e48\u5faa\u73af\u7684\u7ec8\u6b62\u6761\u4ef6\u662f\u4ec0\u4e48&#xff1f;<\/p>\n<p>\u5f53left &lt; right\u7684\u65f6\u5019&#xff0c;target\u80af\u5b9a\u662f\u6ca1\u627e\u5230\u7684&#xff1b;\u800c\u5f53left &#061;&#061; right\u7684\u65f6\u5019&#xff0c;\u6211\u4eec\u53ef\u4ee5\u8fd9\u4e48\u60f3&#xff0c;\u5982\u679c\u6211\u4eec\u8981\u627e5&#xff0c;\u800c\u7ed9\u51fa\u5e8f\u5217\u53ea\u6709\u4e00\u4e2a5&#xff1a;<\/p>\n<p>  [5] <\/p>\n<p>\u6b64\u65f6left &#061;&#061; right\u7684\u65f6\u5019&#xff0c;target\u5c31\u627e\u5230\u4e86\u3002\u6240\u4ee5\u5faa\u73af\u7684\u7ec8\u6b62\u6761\u4ef6\u662fleft &gt; right&#xff0c;\u5373\u5faa\u73af\u7684\u6267\u884c\u6761\u4ef6\u662fleft &lt;&#061; right\u3002<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">search<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> mid <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> target<span class=\"token punctuation\">)<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u81f3\u6b64&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u63d0\u70bc\u51fa\u6734\u7d20\u4e8c\u5206\u67e5\u627e\u7684\u6a21\u677f&#xff1a;<\/p>\n<p><span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token comment\">\/\/int mid &#061; left &#043; (right &#8211; left &#043; 1)\/2; \/\/ \u7528\u8fd9\u4e2a\u4e5f\u884c\u6ca1\u533a\u522b<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">)<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h2>2\u3001\u67e5\u627e\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/h2>\n<p>\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u5143\u7d20\u7684\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/p>\n<p>\u8fd9\u9053\u9898\u4e2d&#xff0c;\u6211\u4eec\u4e0d\u80fd\u76f4\u63a5\u4f7f\u7528\u6734\u7d20\u4e8c\u5206\u67e5\u627e\u53bb\u627etarget\u3002\u5c31\u7b97\u6734\u7d20\u4e8c\u5206\u67e5\u627e\u80fd\u591f\u627e\u5230target&#xff0c;\u6b64\u65f6\u7684\u4f4d\u7f6emid\u4e0d\u4e00\u5b9a\u662f\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u6216\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e&#xff0c;\u5e76\u4e14\u6211\u4eec\u4e5f\u4e0d\u80fd\u591f\u77e5\u9053\u5f53\u524d\u4f4d\u7f6e\u4e0e\u9996\u5c3e\u4f4d\u7f6e\u7684\u76f4\u63a5\u8054\u7cfb\u3002<\/p>\n<p>\u6211\u4eec\u4e0d\u59a8\u5c06\u95ee\u9898\u62c6\u5206\u6210\u4e24\u90e8\u5206&#xff1a;\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u3001\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e\u3002<\/p>\n<h3>2.1\u3001\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e<\/h3>\n<p>\u6211\u4eec\u5c06\u5e8f\u5217\u5206\u4e3a\u4e24\u6bb5&#xff1a;\u5c0f\u4e8etarget\u7684\u4e00\u6bb5\u3001\u5927\u4e8e\u7b49\u4e8etarget\u7684\u4e00\u6bb5\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155731-6a9998ebe5f0c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5982\u679cmid\u6307\u5411\u503c\u5c0f\u4e8etarget&#xff0c;\u90a3\u4e48left\u5f53\u7136\u8981\u8d70\u5230mid\u7684\u53f3\u8fb9\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155732-6a9998ec490da.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5982\u679cmid\u6307\u5411\u503c\u5927\u4e8e\u7b49\u4e8etarget&#xff0c;right\u5c31\u4e0d\u80fd\u8f7b\u6613\u8d70\u5230mid\u7684\u5de6\u8fb9\u4e86&#xff0c;\u56e0\u4e3a\u5982\u679cright\u8d70\u5230mid\u7684\u5de6\u8fb9&#xff0c;\u5f88\u53ef\u80fd\u8d70\u5230\u5c0f\u4e8etarget\u7684\u5730\u65b9&#xff0c;\u4e5f\u5c31\u627e\u4e0d\u5230target\u7684\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u4e86\u3002<\/p>\n<p>\u8fd9\u65f6\u6211\u4eec\u8ba9right\u8d70\u5230mid\u7684\u4f4d\u7f6e\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155732-6a9998ecea6d3.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e&#xff0c;\u8fd8\u6709\u4e24\u4e2a\u7ec6\u8282&#xff1a;<\/p>\n<p>mid\u7684\u8ba1\u7b97\u65b9\u5f0f<\/p>\n<p>mid\u6709\u4e24\u79cd\u8ba1\u7b97\u65b9\u5f0f&#xff1a;<\/p>\n<p>  mid &#061; left &#043; (right &#8211; left) \/ 2 \u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u2460 <\/p>\n<p>  mid &#061; left &#043; (right &#8211; left &#043; 1) \/ 2\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u2461 <\/p>\n<p>\u5f53\u5e8f\u5217\u5143\u7d20\u4e2a\u6570\u4e3a\u5947\u6570\u65f6&#xff0c;\u4e24\u79cd\u8ba1\u7b97\u65b9\u5f0f\u6ca1\u6709\u533a\u522b\u3002<\/p>\n<p>\u5f53\u5e8f\u5217\u5143\u7d20\u4e2a\u6570\u4e3a\u5076\u6570\u65f6&#xff0c;\u4e24\u79cd\u8ba1\u7b97\u65b9\u5f0f\u5c31\u6709\u533a\u522b&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155733-6a9998ed9d69c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u7684\u8fc7\u7a0b\u4e2d&#xff0c;\u5982\u679cleft\u4e0eright\u5df2\u7ecf\u5904\u4e8e\u76f8\u90bb\u4f4d\u7f6e&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155734-6a9998ee2408b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" 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decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155734-6a9998ee3ab76.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u6211\u4eec\u9009\u53d6\u597d\u4e86mid\u7684\u8ba1\u7b97\u65b9\u5f0f\u540e&#xff0c;\u6b64\u65f6\u8ba1\u7b97mid\u5e94\u8be5\u5904\u4e8eleft\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>left\u5411\u53f3\u4e00\u4f4d&#xff0c;left\u4e0eright\u521a\u597d\u91cd\u5408\u3002\u7531\u4e8eleft\u6b64\u524d\u4e00\u76f4\u6307\u5411\u5c0f\u4e8etarget\u7684\u503c&#xff0c;\u6240\u4ee5\u8fd9\u4e00\u6b21\u5411\u53f3\u4e00\u4f4d\u4e0eright\u91cd\u5408&#xff0c;\u5c31\u4e00\u5b9a\u662ftarget\u7684\u7b2c\u4e00\u4e2a\u4f4d\u7f6e&#xff0c;\u610f\u5473\u7740left &#061;&#061; right\u5c31\u662f\u5faa\u73af\u7ec8\u6b62\u7684\u6761\u4ef6\u3002<\/p>\n<p>\u6211\u4eec\u8fd8\u53ef\u4ee5\u8fdb\u4e00\u6b65\u601d\u8003&#xff0c;\u5982\u679cleft\u4e0eright\u91cd\u5408\u4e86\u8fd8\u8fdb\u884c\u5224\u65ad&#xff0c;\u7531\u4e8e\u6b64\u65f6\u8ba1\u7b97\u51fa\u6765\u7684mid\u8fd8\u662f\u91cd\u5408\u4f4d\u7f6e&#xff0c;\u5bfc\u81f4right\u4f4d\u7f6e\u4e0d\u52a8&#xff0c;\u4e5f\u4f1a\u5f15\u53d1\u6b7b\u5faa\u73af\u3002<\/p>\n<h3>2.2\u3001\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/h3>\n<p>\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e\u7684\u601d\u8003\u65b9\u6cd5\u4e0e\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u975e\u5e38\u76f8\u4f3c&#xff0c;\u53ea\u662f\u6211\u4eec\u9700\u8981\u628a\u5e8f\u5217\u5206\u4e3a&#xff1a;\u5c0f\u4e8e\u7b49\u4e8etarget\u7684\u4e00\u6bb5\u3001\u5927\u4e8etarget\u7684\u4e00\u6bb5\u3002\u7136\u540eleft, right\u7684\u66f4\u65b0\u65b9\u5f0f\u6709\u6240\u4e0d\u540c\u3002<\/p>\n<p>\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e&#xff0c;\u5faa\u73af\u7ed3\u675f\u7684\u6761\u4ef6\u4e5f\u662fleft &#061;&#061; right&#xff0c;\u800cmid\u7684\u8ba1\u7b97\u5f97\u91c7\u7528\u4e0a\u9762\u7684\u65b9\u6cd5\u2461\u3002\u5177\u4f53\u539f\u56e0\u4e5f\u53ef\u4ee5\u89c2\u5bdfleft\u4e0eright\u76f8\u90bb\u65f6\u7684\u60c5\u51b5\u3002<\/p>\n<h3>2.3\u3001\u4ee3\u7801\u5b9e\u73b0<\/h3>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">searchRange<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> begin <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> end <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> mid <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> begin <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><\/p>\n<p>        left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> target<span class=\"token punctuation\">)<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> left <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> end <span class=\"token operator\">&#061;<\/span> right<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span>begin<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u5176\u5b9e\u6211\u4eec\u8fd8\u53ef\u4ee5\u505a\u4e00\u4e2a\u5c0f\u4f18\u5316&#xff0c;left, right\u53cc\u6307\u9488\u5728\u627e\u5b8c\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u7684\u65f6\u5019&#xff0c;left\u65e0\u9700\u56de\u52300&#xff0c;\u53ef\u4ee5\u7ee7\u7eed\u914d\u5408right\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e\u3002\u4f46\u4e3a\u4e86\u8ba9\u4ee3\u7801\u5c3d\u53ef\u80fd\u5206\u9694\u5f00\u4e0d\u76f8\u4e92\u5f71\u54cd&#xff0c;\u6211\u4eec\u8fd8\u662f\u5efa\u8baeleft\u5148\u56de\u52300\u3002<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">searchRange<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8fb9\u754c\u60c5\u51b5\u5355\u72ec\u8ba8\u8bba<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> begin <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">!&#061;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6ca1\u627e\u5230\u5de6\u7aef\u70b9&#xff0c;\u5c31\u4e0d\u53ef\u80fd\u627e\u5230\u4e24\u4e2a\u4f4d\u7f6e<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> begin <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/right &#061; nums.size() &#8211; 1; \/\/ left\u53ef\u4ee5\u4e0d\u7528\u56de\u53bb<\/span><br \/>\n        left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> target<span class=\"token punctuation\">)<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> left <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span>begin<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u7b2c\u4e00\u4efd\u4ee3\u7801\u770b\u8d77\u6765\u6bd4\u8f83\u6574\u9f50&#xff0c;\u7b2c\u4e8c\u4efd\u4ee3\u7801\u5c31\u8fdb\u884c\u4e86\u4e00\u4e9b\u8fc7\u7a0b\u548c\u53d8\u91cf\u521b\u5efa\u7684\u4f18\u5316\u3002<\/p>\n<h3>2.4\u3001\u6a21\u677f\u7684\u63d0\u70bc<\/h3>\n<p><span class=\"token comment\">\/\/ \u67e5\u627e\u5de6\u7aef\u70b9<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/ \u67e5\u627e\u53f3\u7aef\u70b9<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">)<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span> left <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u5bf9\u4e8e\u6a21\u677f&#xff0c;\u6211\u4eec\u53ea\u9700\u8bb0\u4f4fmid\u7684\u8ba1\u7b97\u65b9\u5f0f&#xff1b;\u81f3\u4e8eif else\u8bed\u53e5&#xff0c;\u6211\u4eec\u9700\u8981\u5c31\u9898\u8bba\u9898\u3002\u6b7b\u8bb0\u786c\u80cc\u662f\u5927\u5fcc&#xff01;<\/p>\n<h2>3\u3001x\u7684\u5e73\u65b9\u6839<\/h2>\n<p>x\u7684\u5e73\u65b9\u6839<\/p>\n<p>\u9898\u76ee\u8981\u6c42\u5f88\u7b80\u5355&#xff0c;\u5c31\u662f\u6c42\u4e00\u4e2a\u6570x\u5f00\u5e73\u65b9&#xff0c;\u7136\u540e\u820d\u5f03\u5c0f\u6570\u90e8\u5206\u7684\u6574\u6570\u90e8\u5206\u3002<\/p>\n<p>\u8fd9\u4e2a\u6574\u6570\u662f\u5c0f\u4e8e\u7b49\u4e8ex\u7684\u5e73\u65b9\u6839\u7684&#xff0c;\u5373\u8fd9\u4e2a\u6574\u6570\u7684\u5e73\u65b9\u5c0f\u4e8e\u7b49\u4e8ex\u3002<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u91c7\u53d6\u66b4\u529b\u7684\u89e3\u6cd5&#xff0c;\u5373\u7528i\u904d\u53861 ~ x&#xff0c;\u521a\u597di<sup>2<\/sup> \u5c0f\u4e8e\u7b49\u4e8ex&#xff0c;i\u7684\u4e0b\u4e00\u4f4d\u7684\u5e73\u65b9\u5927\u4e8ex\u7684\u65f6\u5019&#xff0c;\u6211\u4eec\u5c31\u8fd4\u56dei\u3002<\/p>\n<p>\u66b4\u529b\u7684\u89e3\u6cd5\u53ef\u4ee5\u4f18\u5316\u3002\u8bbe\u8981\u8fd4\u56de\u7684\u503c\u4e3aret&#xff0c;\u7531\u4e8eret<sup>2<\/sup> \u662f\u5c0f\u4e8e\u7b49\u4e8ex\u7684&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u5c061 ~ x\u5e8f\u5217\u5206\u4e3a&#xff1a;\u5e73\u65b9\u6839\u5c0f\u4e8e\u7b49\u4e8ex\u7684\u4e00\u6bb5\u3001\u5e73\u65b9\u6839\u5927\u4e8ex\u7684\u4e00\u6bb5\u3002\u8fd9\u6837\u95ee\u9898\u5c31\u5177\u6709\u4e86\u4e8c\u6bb5\u6027&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u7528\u4e8c\u5206\u67e5\u627e&#xff1a;<\/p>\n<ul>\n<li>left, right, mid<\/li>\n<li>\u5f53ret<sup>2<\/sup> \u5c0f\u4e8e\u7b49\u4e8ex&#xff0c;left &#061; mid<\/li>\n<li>\u5f53ret<sup>2<\/sup> \u5927\u4e8ex&#xff0c;right &#061; mid &#8211; 1<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">mySqrt<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8003\u8651\u5230x &#061;&#061; 0\u8fb9\u754c\u60c5\u51b5<\/span><br \/>\n        <span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> x<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8fd9\u91cc\u5efa\u8bae\u4e5f\u7528long long<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u7528long long\u9632\u6ea2\u51fa<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>mid <span class=\"token operator\">*<\/span> mid <span class=\"token operator\">&lt;&#061;<\/span> x<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>4\u3001\u641c\u7d22\u63d2\u5165\u4f4d\u7f6e<\/h2>\n<p>\u641c\u7d22\u63d2\u5165\u4f4d\u7f6e<\/p>\n<p>\u5047\u8bbe\u8981\u8fd4\u56de\u7684\u7d22\u5f15\u4e3aret\u3002<\/p>\n<p>\u5206\u6790\u51e0\u4e2a\u6837\u4f8b&#xff0c;\u6211\u4eec\u4e0d\u96be\u5f97\u51fa&#xff0c;<\/p>\n<ul>\n<li>\u8981\u4e48ret\u6307\u5411\u7684\u503c&#xff0c;\u521a\u597d\u7b49\u4e8etarget<\/li>\n<li>\u8981\u4e48ret\u6307\u5411\u7684\u503c&#xff0c;\u521a\u597d\u662f\u5e8f\u5217\u4ece\u5de6\u5f80\u53f3\u7b2c\u4e00\u4e2a\u5927\u4e8etarget\u7684\u503c<\/li>\n<li>\u8981\u4e48ret\u6307\u5411\u65b0\u5e8f\u5217\u672b\u5c3e&#xff0c;\u5373\u539f\u5e8f\u5217\u672b\u5c3e\u7684\u4e0b\u4e00\u4f4d\u3002\u610f\u5473\u7740target\u6bd4\u5e8f\u5217\u4e2d\u6240\u6709\u503c\u90fd\u8981\u5927<\/li>\n<\/ul>\n<p>\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u628a\u539f\u5e8f\u5217\u5206\u4e3a\u4e24\u6bb5&#xff1a;\u5c0f\u4e8etarget\u7684\u4e00\u6bb5\u3001\u5927\u4e8e\u7b49\u4e8etarget\u7684\u4e00\u6bb5\u3002\u8fd9\u65f6\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u627e\u5de6\u7aef\u70b9\u7684\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5\u3002<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">searchInsert<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>target <span class=\"token operator\">&gt;<\/span> nums<span class=\"token punctuation\">[<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5904\u7406\u8fb9\u754c\u6761\u4ef6&#xff1a;target\u6bd4\u5e8f\u5217\u4e2d\u6240\u6709\u503c\u90fd\u8981\u5927<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>5\u3001\u5c71\u5cf0\u6570\u7ec4\u7684\u5cf0\u503c\u7d22\u5f15<\/h2>\n<p>\u5c71\u5cf0\u6570\u7ec4\u7684\u5cf0\u503c\u7d22\u5f15<\/p>\n<p>\u9898\u76ee\u4fdd\u8bc1\u4e86\u6570\u7ec4\u90fd\u662f\u5c71\u8109\u6570\u7ec4&#xff0c;\u90a3\u4e48\u6839\u636e\u7ed9\u51fa\u7684\u793a\u4f8b&#xff0c;\u5c71\u8109\u6570\u7ec4\u90fd\u662f\u957f\u8fd9\u6837\u7684&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155734-6a9998ee53dd6.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5373\u4e00\u5347\u4e00\u964d\u3002<\/p>\n<p>\u66b4\u529b\u7684\u89e3\u6cd5\u5c31\u662f\u904d\u5386&#xff0c;\u9047\u5230\u7684\u6570\u5982\u679c\u6bd4\u5de6\u8fb9\u5927\u3001\u6bd4\u53f3\u8fb9\u5c0f&#xff0c;\u7ee7\u7eed\u5411\u540e&#xff1b;\u5f53\u9047\u5230\u4e00\u4e2a\u6570&#xff0c;\u6bd4\u5de6\u53f3\u4e24\u8fb9\u90fd\u5927&#xff0c;\u5c31\u662f\u5cf0\u503c&#xff0c;\u8fd4\u56de\u7d22\u5f15\u3002<\/p>\n<p>\u904d\u5386\u65b9\u6cd5\u663e\u7136\u8d85\u65f6&#xff0c;\u6211\u4eec\u80fd\u5426\u8fdb\u884c\u4f18\u5316&#xff1f;\u5373\u627e\u51fa\u4e00\u4e2a\u5177\u6709\u4e8c\u6bb5\u6027\u7684\u89e3\u6cd5&#xff1f;<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u5c06\u5c71\u8109\u6570\u7ec4&#xff0c;\u5206\u6210\u9012\u589e\u7684\u4e00\u6bb5&#xff0c;\u548c\u9012\u51cf\u7684\u4e00\u6bb5&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155734-6a9998ee6ee54.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u63a5\u7740\u5b9a\u4e49\u4e0b\u6807mid\u3002\u5f53arr[mid] &gt; arr[mid &#8211; 1]\u7684\u65f6\u5019&#xff0c;mid\u5c31\u5728\u9012\u589e\u7684\u4e00\u6bb5&#xff0c;\u7531\u4e8e\u9012\u589e\u7684\u4e00\u6bb5\u5305\u542b\u5cf0\u503c&#xff0c;left\u53ea\u80fd\u66f4\u65b0\u5230mid&#xff0c;\u5426\u5219\u53ef\u80fd\u4f1a\u8df3\u8fc7\u5cf0\u503c\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155734-6a9998eec4173.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f53arr[mid] &lt; arr[mid &#8211; 1]\u7684\u65f6\u5019&#xff0c;mid\u5c31\u5728\u9012\u51cf\u7684\u4e00\u6bb5&#xff0c;right\u5c31\u53ef\u4ee5\u66f4\u65b0\u5230mid\u7684\u5de6\u4e00\u4f4d\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155735-6a9998ef303e0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f53left\u4e0eright\u91cd\u5408&#xff0c;\u91cd\u5408\u4f4d\u7f6e\u5c31\u662f\u5cf0\u503c\u3002\u81f3\u6b64\u6211\u4eec\u627e\u5230\u4e86\u4e8c\u6bb5\u6027&#xff0c;\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5\u89e3\u9898&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">peakIndexInMountainArray<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> arr<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u5f53\u7136\u6211\u4eec\u4e5f\u53ef\u4ee5\u8fd9\u6837\u5206\u5e8f\u5217&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155735-6a9998ef82d37.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u76f8\u6bd4\u524d\u4e00\u79cd\u89e3\u6cd5&#xff0c;\u5cf0\u503c\u8dd1\u5230\u4e86\u9012\u51cf\u7684\u5e8f\u5217\u91cc\u9762&#xff0c;\u6240\u4ee5\u76f8\u5173\u7684\u8ba8\u8bba\u53ca\u64cd\u4f5c\u4e5f\u9700\u8981\u505a\u4e00\u4e9b\u53d8\u5316\u3002\u5982\u4f55\u53d8\u5316\u8fd9\u91cc\u4e0d\u518d\u8d58\u8ff0&#xff0c;\u53ea\u7ed9\u51fa\u53e6\u4e00\u79cd\u89e3\u6cd5\u7684\u4ee3\u7801&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">peakIndexInMountainArray<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> arr<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>6\u3001\u5bfb\u627e\u5cf0\u503c<\/h2>\n<p>\u5bfb\u627e\u5cf0\u503c<\/p>\n<p>\u5bf9\u4e8e\u201c\u6570\u7ec4\u53ef\u80fd\u5305\u542b\u591a\u4e2a\u5cf0\u503c\u201d&#xff0c;\u6211\u4eec\u53ef\u4ee5\u7406\u89e3\u4e3a\u5e8f\u5217\u53ef\u80fd\u4e00\u76f4\u9012\u589e&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155735-6a9998ef97567.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> \u53ef\u80fd\u4e00\u76f4\u9012\u51cf&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155735-6a9998efcf48a.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u53ef\u80fd\u53ea\u6709\u4e00\u4e2a\u5cf0\u503c&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155736-6a9998f01397a.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u53ef\u80fd\u6709\u591a\u4e2a\u5cf0\u503c&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155736-6a9998f04f7c6.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5bf9\u4e8e\u201c\u5047\u8bbe nums[-1] &#061; nums[n] &#061; -\u221e\u201d&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u60f3\u51fa\u4e24\u4e2a\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(1)\u7684\u5206\u652f\u64cd\u4f5c&#xff1a;\u5982\u679c\u5e8f\u5217\u5f00\u5934\u5448\u4e0b\u964d\u8d8b\u52bf&#xff0c;\u6216\u8005\u7ed3\u5c3e\u5448\u4e0a\u5347\u8d8b\u52bf&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u76f4\u63a5\u8fd4\u56de\u5f00\u5934\u6216\u8005\u7ed3\u5c3e\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155736-6a9998f08b034.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4f46\u5bf9\u4e8e\u4e00\u822c\u7684\u5e8f\u5217&#xff0c;\u66b4\u529b\u7684\u89e3\u6cd5\u5c31\u53ea\u80fd\u662f\u904d\u5386\u5e8f\u5217&#xff0c;\u627e\u5230\u5cf0\u503c\u5c31\u8fd4\u56de&#xff0c;\u6548\u7387\u663e\u7136\u4e0d\u884c\u3002<\/p>\n<p>\u6211\u4eec\u4e0d\u59a8\u89c2\u5bdf\u67d0\u4e00\u4e2a\u4e0b\u6807i&#xff0c;\u6bd4\u8f83nums[i]\u4e0enums[i&#043;1]\u7684\u5173\u7cfb\u3002<\/p>\n<p>\u5f53nums[i] &gt; nums[i&#043;1]\u7684\u65f6\u5019&#xff0c;\u7531\u4e8e\u5e8f\u5217\u4ecenums[i&#043;1]\u5f00\u59cb\u5411\u53f3\u53ef\u80fd\u5c31\u4e00\u76f4\u9012\u51cf&#xff0c;\u6240\u4ee5\u6211\u4eec\u5c31\u4e0d\u53bb(i&#043;1)\u53ca\u5176\u53f3\u4fa7\u627e\u5cf0\u503c&#xff1b;\u800c\u9898\u76ee\u5047\u8bbe\u4e86nums[-1] &#061;&#061; -\u221e&#xff0c;\u90a3\u4e48\u4ece-1\u5230i\u5c31\u4e00\u5b9a\u6709\u4e00\u4e2a\u5cf0\u503c&#xff0c;\u6211\u4eec\u5c31\u53bb0 ~ i\u91cc\u9762\u627e\u5cf0\u503c\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155736-6a9998f0c49cf.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f53nums[i] &lt; nums[i&#043;1]\u7684\u65f6\u5019&#xff0c;\u7531\u4e8e\u5e8f\u5217\u4ecenums[0]\u5f00\u59cb\u5411\u53f3\u76f4\u5230nums[i]\u53ef\u80fd\u5c31\u4e00\u76f4\u9012\u589e&#xff0c;\u6240\u4ee5\u6211\u4eec\u5c31\u4e0d\u53bbi\u53ca\u5176\u5de6\u4fa7\u627e\u5cf0\u503c&#xff1b;\u800c\u9898\u76ee\u5047\u8bbe\u4e86nums[nums.size()] &#061;&#061; -\u221e&#xff0c;\u90a3\u4e48\u4ece(i&#043;1)\u5230(nums.size() &#8211; 1)\u5c31\u4e00\u5b9a\u6709\u4e00\u4e2a\u5cf0\u503c&#xff0c;\u6211\u4eec\u5c31\u53bb(i&#043;1) ~ (nums.size() &#8211; 1)\u91cc\u9762\u627e\u5cf0\u503c\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260903155737-6a9998f1115ca.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u6b64\u65f6\u6211\u4eec\u627e\u5230\u4e86\u4e8c\u6bb5\u6027&#xff0c;\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u3002\u5c06i\u770b\u4f5cmid&#xff0c;\u90a3\u4e48\u6211\u4eec\u73b0\u5728\u7684\u4efb\u52a1\u662f\u786e\u5b9amid\u7684\u8ba1\u7b97\u65b9\u6cd5&#xff0c;\u5373left, right\u7684\u8d70\u6cd5&#xff1a;<\/p>\n<ul>\n<li>\u5f53nums[mid] &gt; nums[mid&#043;1]\u7684\u65f6\u5019&#xff0c;nums[mid]\u66f4\u5927&#xff0c;\u53ef\u80fd\u4e3a\u5cf0\u503c&#xff0c;\u6240\u4ee5right &#061; mid\u3002\u5982\u679cright &#061; mid &#8211; 1&#xff0c;\u90a3\u4e48right\u6709\u53ef\u80fd\u4f1a\u8df3\u8fc7\u5cf0\u503c\u3002<\/li>\n<li>\u5f53nums[mid] &lt; nums[mid&#043;1]\u7684\u65f6\u5019&#xff0c;nums[mid&#043;1]\u66f4\u5927&#xff0c;\u90a3\u4e48nums[mid]\u5c31\u4e00\u5b9a\u4e0d\u662f\u5cf0\u503c&#xff0c;\u6240\u4ee5left &#061; mid &#043; 1\u3002<\/li>\n<\/ul>\n<p>\u81f3\u6b64\u6211\u4eec\u5c31\u53ef\u4ee5\u7f16\u5199\u4ee3\u7801&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">findPeakElement<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> nums<span class=\"token punctuation\">[<\/span>mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>7\u3001\u5bfb\u627e\u65cb\u8f6c\u6392\u5e8f\u6570\u7ec4\u4e2d\u7684\u6700\u5c0f\u503c<\/h2>\n<p>\u5bfb\u627e\u65cb\u8f6c\u6392\u5e8f\u6570\u7ec4\u4e2d\u7684\u6700\u5c0f\u503c<\/p>\n<p>\u6bd4\u5982\u4e0b\u9762\u7684\u5e8f\u5217&#xff1a;<\/p>\n<p>  [ 1, 2, 3, 4, 5, 6 ] <\/p>\n<p>\u7ecf\u8fc7\u4e00\u6b21\u65cb\u8f6c\u540e&#xff0c;\u5f97\u5230&#xff1a;<\/p>\n<p>  [ 6, 1, 2, 3, 4, 5 ] <\/p>\n<p>\u518d\u7ecf\u8fc7\u4e00\u6b21\u65cb\u8f6c\u540e&#xff0c;\u5f97\u5230&#xff1a;<\/p>\n<p>  [ 5, 6, 1, 2, 3, 4 ] <\/p>\n<p>\u4ee5\u6b64\u7c7b\u63a8\u2026<\/p>\n<p>\u5bf9\u4e8e\u8fd9\u9053\u9898&#xff0c;\u76f8\u4fe1\u66b4\u529b\u89e3\u6cd5\u5927\u5bb6\u4e00\u770b\u5c31\u77e5\u9053&#xff1a;\u904d\u5386\u3002\u6211\u4eec\u7684\u4efb\u52a1\u662f\u600e\u4e48\u505a\u4f18\u5316\u3002<\/p>\n<p>\u9898\u76ee\u4fdd\u8bc1\u4e86\u5e8f\u5217\u6240\u6709\u7684\u503c\u5404\u4e0d\u76f8\u540c&#xff0c;\u90a3\u4e48\u5bf9\u4e8e\u4e00\u822c\u7684\u65cb\u8f6c\u5e8f\u5217&#xff0c;\u5927\u6982\u90fd\u957f\u8fd9\u6837&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"2026-09-03ofnodq4jgja.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u9ad8\u5ea6\u53cd\u6620\u4e86\u503c\u7684\u76f8\u5bf9\u5927\u5c0f\u3002\u6211\u4eec\u53d1\u73b0&#xff0c;\u5904\u4e8e\u7070\u7ebf\u4e0a\u65b9\u7684\u5e8f\u5217&#xff0c;\u6bcf\u4e00\u4e2a\u503c\u90fd\u662f\u5927\u4e8e\u603b\u5e8f\u5217\u6700\u540e\u4e00\u4e2a\u503c\u7684&#xff0c;\u5373\u5927\u4e8enums[nums.size() &#8211; 1]&#xff1b;\u5904\u4e8e\u7070\u7ebf\u4e0b\u65b9\u7684\u5e8f\u5217&#xff0c;\u6bcf\u4e00\u4e2a\u503c\u90fd\u662f\u5c0f\u4e8e\u7b49\u4e8enums[nums.size() &#8211; 1]\u7684\u3002\u6211\u4eec\u5c31\u627e\u5230\u4e86\u4e8c\u6bb5\u6027&#xff0c;\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u3002<\/p>\n<p>\u5b9a\u4e49\u4e00\u5de6\u4e00\u53f3\u6307\u9488left, right&#xff0c;\u6c42\u51famid&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"2026-09-03hnoqd4anptj.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5982\u679cnums[mid] &gt; nums[nums.size() &#8211; 1]&#xff0c;\u90a3\u4e48\u5f53\u524dmid\u5c31\u5904\u5728\u7070\u7ebf\u4e0a\u65b9\u7684\u5e8f\u5217&#xff0c;\u7070\u7ebf\u4e0a\u65b9\u7684\u5e8f\u5217\u53ef\u6ca1\u6709\u6700\u5c0f\u503c&#xff0c;\u6240\u4ee5left &#061; mid &#043;1\u3002<\/p>\n<p>\u5982\u679cnums[mid] &lt; nums[nums.size() &#8211; 1]&#xff0c;\u90a3\u4e48\u5f53\u524dmid\u5c31\u5904\u5728\u7070\u7ebf\u4e0b\u65b9\u7684\u5e8f\u5217&#xff0c;\u7070\u7ebf\u4e0a\u65b9\u7684\u5e8f\u5217\u53ef\u80fd\u6709\u6700\u5c0f\u503c&#xff0c;\u6240\u4ee5right &#061; mid\u3002<\/p>\n<p>\u5f53left, right\u76f8\u9047&#xff0c;\u6211\u4eec\u5c31\u627e\u5230\u4e86\u6700\u5c0f\u503c\u3002<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">findMin<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> nums<span class=\"token punctuation\">[<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> nums<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u5f53\u7136&#xff0c;\u4ee5nums[0]\u4e3a\u6807\u51c6\u8ba8\u8bba\u4e8c\u6bb5\u6027&#xff0c;\u4e5f\u80fd\u89e3\u51fa\u8fd9\u9053\u9898\u3002\u53ea\u4e0d\u8fc7\u5728\u5e8f\u5217\u6709\u5e8f(\u5347\u5e8f)\u7684\u60c5\u51b5\u4e0b\u9700\u8981\u5355\u72ec\u8ba8\u8bba&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">findMin<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> nums<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> nums<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5e8f\u5217\u6709\u5e8f&#xff0c;\u9700\u5355\u72ec\u8ba8\u8bba&#xff0c;\u56e0\u4e3aleft &#061; mid &#043; 1\u4f1a\u8df3\u8fc7\u6700\u5c0f\u503c<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> nums<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> nums<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>8\u30010~n-1\u4e2d\u7f3a\u5931\u7684\u6570\u5b57<\/h2>\n<p>0~n-1\u4e2d\u7f3a\u5931\u7684\u6570\u5b57<\/p>\n<p>\u6bd4\u5982\u8fd9\u91cc\u6709\u4e00\u6bb5\u5e8f\u5217&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"2026-09-03p00wjehexiy.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f88\u660e\u663e&#xff0c;\u8fd9\u5c31\u662f0~6\u8fd9\u4e48\u4e00\u6bb5\u516c\u5dee\u4e3a1\u7684\u8fde\u7eed\u5e8f\u5217\u4e2d&#xff0c;\u6263\u6389\u4e86\u4e00\u4e2a3\u3002\u6211\u4eec\u8981\u60f3\u529e\u6cd5\u8fd4\u56de3\u8fd9\u4e2a\u7f3a\u5931\u7684\u6570\u5b57\u3002<\/p>\n<p>\u5f53\u7136&#xff0c;\u8fd9\u9053\u9898\u6709\u5f88\u591a\u79cd\u89e3\u6cd5\u3002<\/p>\n<p>\u76f4\u63a5\u904d\u5386&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">takeAttendance<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> r<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>i <span class=\"token operator\">!&#061;<\/span> r<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> i<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u5229\u7528hash\u8868&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">takeAttendance<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> sz <span class=\"token operator\">&#061;<\/span> r<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> hash<span class=\"token punctuation\">[<\/span><span class=\"token number\">10002<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span><span class=\"token operator\">&amp;<\/span> n <span class=\"token operator\">:<\/span> r<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            hash<span class=\"token punctuation\">[<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> sz <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>hash<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u4f4d\u8fd0\u7b97&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">takeAttendance<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ [0,1,2,3,5]\u4e0e[1,2,3,4,5]\u5f02\u6216<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> ret <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> r<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span><br \/>\n            ret <span class=\"token operator\">^&#061;<\/span> r<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">^<\/span> <span class=\"token punctuation\">(<\/span>i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> ret<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u9ad8\u65af\u6c42\u548c\u516c\u5f0f(\u7b49\u5dee\u6570\u5217\u6c42\u548c)&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">takeAttendance<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> sz <span class=\"token operator\">&#061;<\/span> r<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">long<\/span> sum <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#043;<\/span> sz<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> sz <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span><span class=\"token operator\">&amp;<\/span> i <span class=\"token operator\">:<\/span> r<span class=\"token punctuation\">)<\/span><br \/>\n            sum <span class=\"token operator\">-&#061;<\/span> i<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> sum<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u4f46\u662f\u4e0a\u9762\u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662fO(N)\u3002\u6211\u4eec\u6765\u627e\u66f4\u4f18\u7684\u89e3\u6cd5&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"2026-09-03mdojgbql4mt.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u6211\u4eec\u89c2\u5bdf\u503c\u4e0e\u7d22\u5f15\u7684\u5173\u7cfb\u30020~2\u5e8f\u5217\u7684\u503c\u4e0e\u7d22\u5f15\u662f\u76f8\u7b49\u7684&#xff0c;\u800c\u4ece3\u4e0b\u6807\u5f00\u59cb&#xff0c;\u503c\u603b\u662f\u6bd4\u7d22\u5f15\u5927\u3002\u6240\u4ee5\u6211\u4eec\u5206\u6790\u51fa\u4e86\u5e8f\u5217\u7684\u4e8c\u6bb5\u6027\u3002<\/p>\n<p><img decoding=\"async\" src=\"2026-09-03do2dstzrwbl.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>records[mid] &#061;&#061; mid&#xff0c;\u547d\u4e2d\u7eff\u7ebf\u5de6\u8fb9\u7684\u5e8f\u5217&#xff0c;\u6ca1\u6709\u8981\u627e\u7d22\u5f15&#xff0c;left &#061; mid &#043; 1&#xff1b;<\/li>\n<li>records[mid] !&#061; mid&#xff0c;\u547d\u4e2d\u7eff\u7ebf\u5de6\u8fb9\u7684\u5e8f\u5217&#xff0c;\u53ef\u80fd\u6709\u8981\u627e\u7d22\u5f15&#xff0c;right &#061; mid\u3002<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">takeAttendance<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> r<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> mid<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u4f46\u662f\u6211\u4eec\u76f4\u63a5\u63d0\u4ea4\u4e0a\u9762\u4ee3\u7801&#xff0c;\u4f1a\u9047\u5230\u8fd9\u4e2a\u95ee\u9898&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"2026-09-034t5ca5fvvzs.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5982\u679c\u4e00\u4e2a\u5e8f\u5217\u4ec0\u4e48\u90fd\u4e0d\u7f3a&#xff0c;\u5373\u5faa\u73af\u7ed3\u675f\u4e86\u8fd8\u662f\u6709right &#061;&#061; records[right]&#xff0c;\u90a3\u4e48\u6211\u4eec\u8fd4\u56de\u7684\u5c31\u662f\u5e8f\u5217\u672b\u4f4d\u7684\u4e0b\u4e00\u4e2a\u503c&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token function\">takeAttendance<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> r<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> mid<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> right <span class=\"token operator\">&#061;&#061;<\/span> r<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">?<\/span> right <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">:<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u5206\u67e5\u627e 1\u3001\u4e8c\u5206\u67e5\u627e1.1\u3001\u66b4\u529b\u89e3\u6cd51.2\u3001\u4e8c\u5206\u67e5\u627e1.3\u3001\u4ee3\u7801\u5b9e\u73b0 2\u3001\u67e5\u627e\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e2.1\u3001\u627e\u7b2c\u4e00\u4e2a\u4f4d\u7f6e2.2\u3001\u627e\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e2.3\u3001\u4ee3\u7801\u5b9e\u73b02.4\u3001\u6a21\u677f\u7684\u63d0\u70bc 3\u3001x\u7684\u5e73\u65b9\u68394\u3001\u641c\u7d22\u63d2\u5165\u4f4d\u7f6e5\u3001\u5c71\u5cf0\u6570\u7ec4\u7684\u5cf0\u503c\u7d22\u5f156\u3001\u5bfb\u627e\u5cf0\u503c7\u3001\u5bfb\u627e\u65cb\u8f6c\u6392\u5e8f\u6570\u7ec4\u4e2d\u7684\u6700\u5c0f\u503c8\u30010~n-1\u4e2d\u7f3a\u5931\u7684\u6570\u5b57 \u4e8c\u5206\u67e5\u627e\u662f\u7ec6\u8282\u975e\u5e38\u591a\u7684\u4e00\u7c7b\u7b97\u6cd5\u9898&#xff0c;\u7a0d\u6709\u4e0d\u614e\u5c31\u4f1a\u7f16\u5199\u51fa\u6b7b\u5faa\u73af\u4ee3\u7801\u3002<br \/>\n\u4e8c\u5206\u67e5\u627e\u7684\u9002\u7528\u8303\u56f4&#xff0c;\u4e0d\u4ec5\u9488\u5bf9\u4e8e\u6709\u5e8f\u7684\u5e8f\u5217&#xff0c;\u5bf9\u4e8e\u65e0\u5e8f\u4f46\u6709\u4e00\u5b9a\u89c4\u5f8b\u7684\u5e8f\u5217&amp;<\/p>\n","protected":false},"author":2,"featured_media":100111,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[427],"topic":[],"class_list":["post-100131","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-427"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u7b97\u6cd5\u7cfb\u52173\uff1a\u4e8c\u5206\u67e5\u627e - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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